131138304
131,138,304 is an even composite number composed of five prime numbers multiplied together.
131138304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131138304:
28 × 3 × 11 × 192 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 19 × 19 × 43)See below for interesting mathematical facts about the number 131138304 from the Numbermatics database.
Names of 131138304
- Cardinal: 131138304 can be written as One hundred thirty-one million, one hundred thirty-eight thousand, three hundred four.
Scientific notation
- Scientific notation: 1.31138304 × 108
Factors of 131138304
Divisors of 131138304
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 43 44 48 57 64 66 76 86 88 96 114 128 129 132 152 172 176 192 209 228 256 258 264 304 344 352 361 384 418 456 473 516 528 608 627 688 704 722 768 817 836 912 946 1032 1056 1083 1216 1254 1376 1408 1419 1444 1634 1672 1824 1892 2064 2112 2166 2432 2451 2508 2752 2816 2838 2888 3268 3344 3648 3784 3971 4128 4224 4332 4864 4902 5016 5504 5676 5776 6536 6688 7296 7568 7942 8256 8448 8664 8987 9804 10032 11008 11352 11552 11913 13072 13376 14592 15136 15523 15884 16512 17328 17974 19608 20064 22704 23104 23826 26144 26752 26961 30272 31046 31768 33024 34656 35948 39216 40128 45408 46208 46569 47652 52288 53504 53922 60544 62092 63536 69312 71896 78432 80256 90816 92416 93138 95304 104576 107844 121088 124184 127072 138624 143792 156864 160512 170753 181632 186276 190608 209152 215688 248368 254144 277248 287584 313728 341506 363264 372552 381216 431376 496736 508288 512259 575168 627456 683012 745104 762432 862752 993472 1016576 1024518 1150336 1366024 1490208 1524864 1725504 1986944 2049036 2300672 2732048 2980416 3049728 3451008 3973888 4098072 5464096 5960832 6902016 8196144 10928192 11921664 16392288 21856384 32784576 43712768 65569152 131138304
- Sum of all divisors σ(n): 411187392
- Sum of proper divisors (its aliquot sum) s(n): 280049088
- 131138304 is an abundant number, because the sum of its proper divisors (280049088) is greater than itself. Its abundance is 148910784
Bases of 131138304
- Binary: 1111101000100000011000000002
- Hexadecimal: 0x7D10300
- Base-36: 262QYO
Squares and roots of 131138304
- 131138304 squared (1311383042) is 17197254775996416
- 131138304 cubed (1311383043) is 2255218824780069904318464
-
The
square root of 131138304 is 11451.5633867171 -
The
cube root of 131138304 is 508.0539757061
Scales and comparisons
How big is 131138304?- 131,138,304 seconds is equal to 4 years, 8 weeks, 5 days, 19 hours, 18 minutes, 24 seconds.
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To count from 1 to 131,138,304 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131138304 cubic inches would be around 42.3 feet tall.
Recreational maths with 131138304
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The information we have on file for 131138304 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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